Red light with a wavelength of 0 = 656.3 nm in air (the Hydrogen-alpha line, or just H) is found to travel at 1.133108 m/s in a gem fashioned from a piece of Moissanite (a transparent form of silicon carbide which is valued as a semi-precious stone used in jewelry). Determine (a) the index of refraction of the mineral nM (to 4 sig. figs. please), (b) the wavelength of the light in the cube M, and (c) the frequency of the light in the cube fM. (d) If the ray of light enters the cube at an incident angle I = 40, what is the angle of refraction R within the cube? (e) What is the critical angle C for the cube? (f) Finally, will this mineral sparkle more than or less than diamond? (nD = 2.42)